On the duality property for semi-compact operators on Banach lattices
We investigate some properties of the class of semi-compact operators on Banach lattices and we give some interesting consequences. In particular we are interested in Banach lattices E and F such that (a) every order bounded operator T:E —t F possessing a semi-compact adjoint is semi-compact as well...
Elmentve itt :
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| Dokumentumtípus: | Cikk |
| Megjelent: |
Bolyai Institute, University of Szeged
Szeged
2011
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| Sorozat: | Acta scientiarum mathematicarum
77 No. 3-4 |
| Kulcsszavak: | Matematika, Operátorelmélet |
| Tárgyszavak: | |
| Online Access: | http://acta.bibl.u-szeged.hu/16403 |
| Tartalmi kivonat: | We investigate some properties of the class of semi-compact operators on Banach lattices and we give some interesting consequences. In particular we are interested in Banach lattices E and F such that (a) every order bounded operator T:E —t F possessing a semi-compact adjoint is semi-compact as well, (b) every order bounded semi-compact operator T: E —> F has a semicompact adjoint. |
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| Terjedelem/Fizikai jellemzők: | 513-524 |
| ISSN: | 0001-6969 |